### Book

## Oberwolfach Reports 2012

The author of the report analyses problems of legal regulation of the phenomena of mobbing and harassment in the Russian legislation, protective measures available under the Russian law and perspectives of the development of the regulation in this field.

This volume contains the proceedings of the 2013 International Conference on Logistics, Informatics and Services Sciences (LISS’2013), held in Reading, UK with satellite sessions in Beijing, China, hosted by School of Economics and Management & International Center for Informatics Research of Beijing Jiaotong University (BJTU); cooperated with the Informatics Research Centre, Henley Business School. University of Reading and China Center for Industrial Security Research: and sponsored by the National Natural Science Foundation of China (NSFC), K. C. Wong Education Foundation (Hong Kong) and Springer Publisher.

The conference was held in cooperation with Journal of Applied Research and Technology (JART) (SCI) Journal of Industrial Engineering and Management (JIEM) (EI Compendex ), Journal of Computing and Information Technology (JCIT) (EI Compendex), Journal of Electronic Commerce in Organizations (JECO) (EI Compendex), Foundations of Computing and Decision Sciences (EI Compendex), Enterprise Information Systems (EIS) (SCI), Advances in Transportation Studies (EI Compendex) Cybernetics and Information Technologies (CIT) (EI Compendex) and Computing and Informatics (SCI).

This conference is a prime international forum for both researchers and industry practitioners to exchange latest fundamental advances in state-of-art and practice of logistics, informatics, service operations and service science, with five simultaneous tracks, covering different aspects, including: “Service Management”, “Logistics Management”, “Information Management”, “Engineering Management” and “Industrial Security Management”. It also had six special sessions, Security research of Chinese financial industry, Security research of special industry, Interoperability of heterogeneous applications and semantic analysis, Low carbon and logistics services, Digital and international publishing & media, and Information management and evaluation. Papers published in each track describe state-of-art research works that are often oriented towards real world applications and highlight the benefits of related methods and techniques for the emerging field of service science, logistics and informatics development.

LISS 2013 received 379 paper submissions from 17 countries and regions. 157 papers were accepted and published after strict peer reviews. The total acceptance ratio is 41.42%. Additionally, a number of invited talks, presented by internationally recognized specialists in different areas, have positively contributed to reinforce the overall quality of the conference and to provide a deep understanding of related areas.

All the submitted papers in the proceedings have been peer reviewed by the reviewers drawn from the scientific committee, external reviewers and editorial board depending on the subject matter of the paper.

Proceedings academic works of the AATSEEL Conference in Boston January 2013.

A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.

Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k- rational functions on G, respectively, g. The conjugation action of G on itself induces the adjoint action of G on g. We investigate the question whether or not the field extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the case where G is simple. For simple groups we show that the answer is positive if G is split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A key ingredient in the proof of the negative result is a recent formula for the unramified Brauer group of a homogeneous space with connected stabilizers. As a byproduct of our investigation we give an affirmative answer to a question of Grothendieck about the existence of a rational section of the categorical quotient morphism for the conjugating action of G on itself.

Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove that in arbitrary G such a cross-section exists if and only if the universal covering isogeny Ĝ → G is bijective; this answers Grothendieck's question cited in the epigraph. In particular, for char k = 0, the converse to Steinberg's theorem holds. The existence of a cross-section in G implies, at least for char k = 0, that the algebra k[G]G of class functions on G is generated by rk G elements. We describe, for arbitrary G, a minimal generating set of k[G]G and that of the representation ring of G and answer two Grothendieck's questions on constructing generating sets of k[G]G. We prove the existence of a rational (i.e., local) section of the quotient morphism for arbitrary G and the existence of a rational cross-section in G (for char k = 0, this has been proved earlier); this answers the other question cited in the epigraph. We also prove that the existence of a rational section is equivalent to the existence of a rational W-equivariant map T- - - >G/T where T is a maximal torus of G and W the Weyl group.